Question

Match the tiles, please see the attached picture

Answer 1

1.

`(x+5)+ (-2)/(x-1) = ((x+5)(x-1)-2)/(x-1) = (x^2-x+5x-5-2)/(x-1) = (x^2+4x-7)/(x-1)` (1st part corresponedes to A)

2.

`(x-1)+ (6)/(x-1) = ((x-1)(x-1)+6)/(x-1) = (x^2-2x+1+6)/(x-1) = (x^2-2x+7)/(x-1)` (2nd part correspondes to B)

3.

`(2x+1)+ (-6)/(x-1) = ((2x+1)(x-1)-6)/(x-1)= \\ (2x^2-2x+x-1-6)/(x-1) = (2x^2-x-7)/(x-1)` (3rd part corresponds to D)


4.

`(2x-1)+(6)/(x-1)= ((2x-1)(x-1)+6)/(x-1) = \\ (2x^2-2x-x+1+6)/(x-1) = (2x^2-3x+7)/(x-1)` (4th part correspondes to C).